by replacing \({\mu _1 - ,\frac{\hat{\sigma }_i^2}{\sigma _1^2+}}\)  with \({\mu _i + \xi {{i} - },\frac{\gamma \hat{\sigma }_{i,t}^2}{ \gamma \sigma _i^2-2(1-\xi )({i} - \varepsilon )}}\)  in [1]}, we get
\(_t{G_{is}>\frac{1}{n}} \le \exp {-\frac{s^2}{\sigma _i^2}} + \exp {-(s-1) \frac{^2}{\sigma _i^4}}.\) 
